Answer:
[tex]\large\boxed{5x^2y^3-180y=(5y)(xy-6)(xy+6)}[/tex]
Step-by-step explanation:
[tex]5x^2y^3=(5y)(x^2y^2)\\\\180y=(5y)(36)\\\\5x^2y^3-180y=(5y)(x^2y^2)-(5y)(36)=(5y)(x^2y^2-36)\\\\\text{use}\ (ab)^n=a^nb^n\\\\=(5y)\bigg((xy)^2-6^2\bigg)\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\(5y)(xy-6)(xy+6)[/tex]
